A $10-$in thick, $26-$ft wide concrete pavement is to be placed with a slipform paver using $8-$cy batches mixed at a central$-$mix plant. Each batch is mixed for an average of $1\mathrm{.}9$ min, and the plant is $75\%$ efficient.

Plant production matches paver production. Paver production is $85\%$ efficient. Truck cycle time is $50$ min. Hourly rates:

Equipment$$ Labor

Paver, $$210$Foreman$,$ $$52$

Texture Bar, $$453$ Operators, $$46$ each

Tine Bar, $$459$ Laborers, $$39$ each

Water Truck, $$652$ Finishers, $$43$ each

$2$ Pickups, $$20$ each$$ Truck drivers, $$35$ each

Haul Truck, $$65$ each

Concrete materials cost $$65\mathrm{.}50/$cy$,$ batching cost is $$18\mathrm{.}65/$cy$,$ and incidentals cost $$8\mathrm{.}32/$cy$.$ Overhead and profit is $34\%$ of the previous costs. Round up and add an additional truck to balanced number.

Find $($a$)$ number of trucks, $($b$)$ paver speed, $($c$)$ $$/$cy cost$,$ and $($d$)$ $$/$sy cost$.$